Diophantine equation problem.

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• Jan 21st 2011, 12:07 PM
TCKony
Diophantine equation problem.
Please, I need help (urgently) solving this Diophantine equation (proving that it doesn't have integer solutions):
x^5-y^2=4
Thanks in advance...
• Jan 21st 2011, 01:25 PM
chiph588@
Quote:

Originally Posted by TCKony
Please, I need help (urgently) solving this Diophantine equation (proving that it doesn't have integer solutions):
x^5-y^2=4
Thanks in advance...

There are no solutions modulo $11,22,33,44,55,66,77$. (It seems these are the only moduli without solutions...)
• Jan 25th 2011, 12:55 PM
TCKony
Thanks!(Nod)